WEAKLY PERIODIC GIBBS MEASURES OF THE ISING MODEL WITH AN EXTERNAL FIELD ON THE CAYLEY TREE

Rahmatullaev M. M.

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WEAKLY PERIODIC GIBBS MEASURES OF THE ISING MODEL WITH AN EXTERNAL FIELD ON THE CAYLEY TREE

机译：Cayley树上带有外场的Iing模型的弱周期吉布斯度量

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摘要

We study weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree. We prove that under some conditions on the model parameters, there exist at least two weakly periodic Gibbs measures for the antiferromagnetic Ising model with an external field.

机译：我们研究了Cayley树上具有外部场的Ising模型的弱周期Gibbs测度。我们证明，在某些条件下，在模型参数上，对于具有外场的反铁磁伊辛模型，至少存在两个弱周期的吉布斯测度。

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《Theoretical and mathematical physics》 |2015年第3期|共7页
作者
Rahmatullaev M. M.;
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正文语种 eng
中图分类物理学的数学方法;
关键词
Cayley tree; Gibbs measure; Ising model with external field; weakly periodic measure;

机译：Cayley树;Gibbs测度;带外场的模型;弱周期测度;

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专利

1. WEAKLY PERIODIC GIBBS MEASURES OF THE ISING MODEL WITH AN EXTERNAL FIELD ON THE CAYLEY TREE [J] . Rahmatullaev M. M. Theoretical and mathematical physics . 2015,第3期

机译：Cayley树上带有外场的Iing模型的弱周期吉布斯度量
2. On Weakly Periodic Gibbs Measures of the Potts Model with a Special External Field on a Cayley Tree [J] . Journal of Mathematical Physics, Analysis, Geometry . 2016,第4期

机译：Cayley树上具有特殊外场的Potts模型的弱周期Gibbs测度
3. On new weakly periodic Gibbs measures of the Ising model on the Cayley tree of order ≤ 5 [J] . Muzaffar Rahmatullaev Journal of Physics: Conference Series . 2016,第1期

机译：≤5阶Cayley树上Ising模型的新弱周期Gibbs测度
4. Ising model on the Cayley tree of third order with inhomogeneous interactions [C] . Nasir Ganikhodjaev, Huda Husna Binti Ibrahim National Symposium on Mathematical Sciences . 2017

机译：在第三顺序的Cayley树上ising模型与不均匀的相互作用
5. Finite-size effects in high-dimensional statistical mechanical systems: The Ising model with periodic boundary conditions. [D] . Papathanakos, Vassilios. 2006

机译：高维统计机械系统中的有限尺寸效应：具有周期性边界条件的Ising模型。
6. Modelling brain-wide neuronal morphology via rooted Cayley trees [O] . Congping Lin, Yuanfei Huang, Tingwei Quan, -1

机译：通过植根的Cayley树对全脑神经元形态进行建模
7. Weakly periodic Gibbs measures of the Ising model on the Cayley tree of order five and six [O] . Ganikhodjaev, Nasir, Rahmatullaev, Muzaffar, Rodzhan, Mohd Hirzie Bin Mohd 2017

机译：在Cayley树上的Ising模型的弱周期Gibbs测度订购五和六

WEAKLY PERIODIC GIBBS MEASURES OF THE ISING MODEL WITH AN EXTERNAL FIELD ON THE CAYLEY TREE

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